Results 81 to 90 of about 173,975,381 (346)
Numerical Stability Analysis of Solutions of PDEs
Computational Methods in Applied Mathematics, 2004 Abstract In this paper we investigate two iterative methods for solving one problem of nonlinear optics. The main goal is not only to find a stationary solution but also to investigate its stability. It is shown that both methods have very different stability properties and the less stable algorithm is close to the approximation of the physically ...
Čiegis, Raimondas, Čiegis, Remigijus
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A comparative study of a system of Lotka-Voltera type of PDEs through perturbation methods [PDF]
, 2013 In this paper the Adomian Decomposition Method (ADM) is employed in order to solve linear and nonlinear functional equations and the results are then compared with those produced by Homotopy Perturbation Method (HPM) through a system of Lotka Voltera ...
H. A. Waha, T. Khan, et al., M. Shakil
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ReLink: Reliable Deep Learning for Microscopic Motion Tracking
Advanced Science, EarlyView.ReLink enables reliable trajectory linking in single‐particle tracking by integrating physics‐informed motion statistics with confidence‐based adaptive filtering. Across diverse simulated and experimental conditions, ReLink robustly reconstructs trajectories and preserves the fidelity of downstream analyses, enabling accurate characterization of ...
Yuan Jiang +7 more
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Series Solutions of Time-Fractional PDEs by Homotopy Analysis Method
Differential Equations and Nonlinear Mechanics, 2008 The homotopy analysis method (HAM) is applied to solve linear and nonlinear fractional partial differential equations (fPDEs). The fractional derivatives are described by Caputo's sense. Series solutions of the fPDEs are obtained.
O. Abdulaziz, I. Hashim, A. Saif
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MULTISCALE IMAGE ANALYSIS BASED ON ROBUST AND ADAPTIVE MORPHOLOGICAL SCALE-SPACES
Image Analysis and Stereology, 2014 Mathematical morphology is a powerful tool for image analysis; however, classical morphological operators suffer from lacks of robustness against noise, and also intrinsic image features are not accounted at all in the process.
El Hadji Samba Diop, Jesus Angulo
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, 2016 In the last years much progress has been achieved in the theory of quasi-periodic solutions of PDEs, that we shall call in a broad sense “KAM theory for PDEs”.
Berti, Massimiliano
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Experimental and numerical study of liquid–liquid systems using the Euler–Lagrange/VOF approach
AIChE Journal, EarlyView.Abstract Achieving stable liquid–liquid dispersions with controlled droplet size remains a challenge due to the complex interplay of dispersed phase viscosity, hydrodynamic conditions and interfacial interactions. This work presents a validated computational framework for droplet breakage and coalescence in liquid–liquid dispersions with variable ...
Pavel Krýsa +3 more
wiley +1 more source
AxiomsThe generalized theory of the double reduction of systems of partial differential equations (PDEs) based on the association of conservation laws with Lie–Bäcklund symmetries is one of the most effective algorithms for performing symmetry reductions of ...
Molahlehi Charles Kakuli +2 more
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Application of Quasi-Monte Carlo Methods to Elliptic PDEs with Random Diffusion Coefficients: A Survey of Analysis and Implementation [PDF]
Foundations of Computational Mathematics, 2016 This article provides a survey of recent research efforts on the application of quasi-Monte Carlo (QMC) methods to elliptic partial differential equations (PDEs) with random diffusion coefficients.
F. Kuo, Dirk Nuyens
semanticscholar +1 more source
Advanced Intelligent Discovery, EarlyView.AI‐BioMech is a deep learning framework that predicts the mechanical behavior of biological cellular materials directly from 2D images. By replacing traditional finite element analysis with semantic segmentation, it identifies stress and strain distributions with 99% accuracy, offering a high‐speed, scalable alternative for analyzing complex, aperiodic
Haleema Sadia +2 more
wiley +1 more source